How to determine the shape of nuclear molecules with polarized  gamma-rays

Fortunato, L.

doi:10.21468/scipostphysproc.3.035

Cited by 2 publications

(1 citation statement)

References 14 publications

(21 reference statements)

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“…In two occasions, in the two preceding editions of this conference, at the EFB23 in Aarhus (Denmark) 2016 and at the EFB24 Guildford (UK) 2019, we had presented detailed mathematical studies on the electromagnetic selection rules for 12 C in a 3 alpha cluster model [10,11] and on theoretical speculations on how to determine the shape of nuclear molecules with a sort of nuclear Raman scattering using beams of polarized γ-rays to determine the depolarization ratio of the outgoing scattered radiation [12,13].…”

Section: Previously Presented Materialsmentioning

confidence: 99%

Detailed Studies of 12C Structure and Reactions

Fortunato

2023

Few-Body Syst

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We are reporting here on a series of theoretical investigations with both algebraic models and geometric cluster models of alpha clusters in 12 C, focusing on the structure of the ground state, the first excited 0 + state and the second excited 2 + state with the purpose, in particular, of establishing if the rotational bands are compatible with rigid structures or rather if they are quantum mixture of different configurations. In a first series of paper [1, 2], we assume a rigid equilateral triangle shape and study in detail several properties that descend from the algebraic framework, such as the energy spectrum, electromagnetic observables and calculate the transition densities in order to extract elastic and inelastic cross-sections for various processes. In a second series of papers [3,4], we solve the three-body Schrödinger equation with orthogonality conditions using the stochastic variational method with correlated Gaussian basis functions. The two-body density distributions indicate that the main configurations of both the 0 + 2 and 2 + 2 states are acute iscosceles triangle shapes coming from 8 Be(0 + )+α configurations and find some hints that the second 2 + state is not an ideal rigid rotational band member of the Hoyle state band.

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Section: Previously Presented Materialsmentioning

confidence: 99%

Detailed Studies of 12C Structure and Reactions

Fortunato

2023

Few-Body Syst

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Detailed studies of 12C structure and reactions

Fortunato

2023

Preprint

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We are reporting here on a series of theoretical investigations with both algebraic models and geometric cluster models of 2+ state with the purpose, in particular, of establishing if the rotational bands are compatible with rigid structures or rather if they are quantum mixture of different configurations.In a first series of paper [1, 2], we assume a rigid equilateral triangle shape and study in detail several properties that descend from the algebraic framework, such as the energy spectrum, electromagnetic observables and calculate the transition densities in order to extract elastic and inelastic cross-sections for various processes.In a second series of papers [3, 4], with correlated Gaussian basis functions. The two-body density distributions indicate that the main configurations of both the 0+2 and 2+2 states are acute iscosceles triangle shapes coming from 8Be(0+)+α configurations and find some hints that the second 2+ state is not an ideal rigid rotational band member of the Hoyle state band.

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How to determine the shape of nuclear molecules with polarized gamma-rays

Cited by 2 publications

References 14 publications

Detailed Studies of 12C Structure and Reactions

Detailed Studies of 12C Structure and Reactions

Detailed studies of 12C structure and reactions

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